Selected quad for the lemma: rest_n

Word A	Word B	Word C	Word D	Occurrence	Frequency Band	MI	MI Band	Prominent
rest_n	word_n	worthy_a	year_n	26	3	3.9534	3	false

Text snippets containing the quad

ID	Title	Author	Corrected Date of Publication (TCP Date of Publication)	STC	Words	Pages
A34005	The sector on a quadrant, or A treatise containing the description and use of four several quadrants two small ones and two great ones, each rendred many wayes, both general and particular. Each of them accomodated for dyalling; for the resolving of all proportions instrumentally; and for the ready finding the hour and azimuth universally in the equal limbe. Of great use to seamen and practitioners in the mathematicks. Written by John Collins accountant philomath. Also An appendix touching reflected dyalling from a glass placed at any reclination.	Collins, John, 1625-1683.; Lyon, John, professor of mathematics. Appendix touching reflective dialling.; Sutton, Henry, mathematical instrument maker.	1659 (1659)	Wing C5382; ESTC R32501	226,510	415

limb._n so_o likewise_o the_o table_n for_o put_v on_o the_o lesser_a sin_n be_v make_v by_o halfe_v the_o natural_a sin_n and_o then_o seek_v what_o ark_v correspond_v thereto_o in_o the_o natural_a sin_n aforesaid_a those_o that_o think_v these_o line_n to_o many_o may_v very_o well_o want_v the_o verse_v sin_n so_o oft_o repeat_v and_o they_o that_o will_v admit_v of_o a_o radius_fw-la of_o 6_o or_o 7_o inch_n may_v have_v the_o line_n of_o line_n superficies_n and_o solid_n put_v on_o in_o the_o limb_n on_o the_o foreside_n and_o the_o segment_n quadrature_n equated_a body_n metal_n and_o inscribe_v body_n or_o other_o line_n at_o pleasure_n put_v on_o upon_o the_o backside_n as_o have_v be_v already_o do_v upon_o some_o quadrant_n now_o to_o the_o use_n the_o use_v of_o the_o projection_n of_o the_o almanac_n before_o the_o projection_n can_v be_v use_v the_o day_n of_o the_o month_n the_o sun_n place_n or_o declination_n must_v be_v know_v but_o these_o be_v common_o give_v by_o the_o knowledge_n thereof_o now_o this_o almanac_n will_v as_o much_o help_n to_o the_o obtain_n hereof_o as_o any_o other_o common_a almanac_n it_o consist_v of_o a_o rectangular_a oblong_n or_o long_a square_n divide_v into_o 7_o column_n in_o the_o breadth_n to_o represent_v 7_o day_n of_o the_o week_n account_v the_o lord_n day_n first_o and_o length_n way_n into_o 9_o column_n the_o two_o uppermost_o represent_v the_o month_n of_o the_o year_n account_v march_n the_o first_o the_o five_o middlemost_a the_o respective_a day_n of_o each_o month_n and_o the_o two_o undermost_a some_o certain_a leap_n year_n posit_v in_o such_o column_n as_o that_o thereby_o may_v be_v know_v by_o inspection_n what_o day_n of_o the_o week_n the_o first_o of_o march_n happen_v upon_o in_o the_o say_a leap_n year_n the_o contrivance_n hereof_o own_v its_o original_n from_o my_o worthy_a friend_n mr._n michael_n darie_n for_o the_o due_a place_n of_o the_o month_n over_o the_o column_n of_o day_n take_v the_o follow_a rule_n in_o his_o own_o word_n first_o have_v march_n assign_v to_o lead_v the_o round_a the_o rest_n of_o the_o month_n be_v easy_o after_o find_v if_o that_o you_o take_v the_o compliment_n in_o day_n to_o 35_o of_o a_o place_v month_n always_o and_o count_v it_o from_o its_o place_n with_o due_a progression_n it_o show_v you_o where_o the_o next_o month_n take_v possession_n thus_o place_v the_o month_n of_o march_n first_o then_o if_o i_o will_v place_v april_n or_o the_o second_o month_n march_n have_v 31_o day_n the_o compliment_n thereof_o to_o 35_o be_v 4_o then_o count_v four_o column_n from_o the_o place_n of_o march_n it_o fall_v upon_o the_o 5_o column_n where_o the_o figure_n 2_o be_v place_v for_o the_o 2_o month_n than_o april_n be_v place_v if_o i_o will_v place_n may_v i_o take_v 30_o the_o number_n of_o day_n in_o april_n from_o 35_o there_o rest_v 5_o and_o count_v 5_o column_n from_o the_o place_n of_o april_n where_o it_o end_v which_o be_v in_o the_o 3_o column_n the_o figure_n 3_o be_v place_v for_o the_o 3_o month_n or_o month_n of_o may._n the_o next_o thing_n to_o be_v know_v be_v on_o what_o day_n of_o the_o week_n the_o first_o day_n of_o march_n fall_v upon_o which_o be_v continual_o to_o be_v remember_v in_o use_v the_o almanac_n this_o for_o some_o leap_v year_n to_o come_v may_v be_v know_v by_o count_v in_o what_o column_n the_o say_v leap_v year_n be_v grave_v thus_o in_o anno_fw-la 1660_o the_o first_o of_o march_n fall_v upon_o a_o thursday_n because_o 60_o be_v grave_v in_o the_o 5_o column_n that_o be_v the_o five_o day_n of_o the_o week_n but_o for_o a_o general_a rule_n take_v it_o in_o these_o word_n to_o the_o number_n two_o add_v the_o year_n of_o our_o lord_n and_o a_o four_o part_n thereof_o neglect_v the_o odd_a remainder_n when_o there_o be_v any_o the_o amount_v divide_v by_o 7_o the_o remainder_n when_o the_o division_n be_v finish_v show_v the_o number_n of_o direction_n or_o day_n of_o the_o week_n on_o which_o the_o first_o day_n of_o march_n fall_v account_v the_o lord_n day_n the_o first_o but_o if_o nothing_o remain_v it_o fall_v on_o a_o saturday_n  _fw-fr 2_o  _fw-fr example_n for_o the_o year_n 1657_o the_o even_o four_o thereof_o 414_o  _fw-fr 2073_o 296_o quotient_n 7_o 1_o remain_v  _fw-fr by_o this_o rule_n there_o will_v be_v find_v to_o remain_v one_o for_o the_o year_n of_o our_o lord_n 1657_o whence_o it_o follow_v that_o the_o first_o day_n of_o march_n fall_v on_o the_o first_o day_n of_o the_o week_n alias_o the_o lord_n day_n in_o that_o year_n so_o in_o anno_fw-la 1658_o there_o remain_v 2_o for_o monday_n in_o 1659._o rest_v 3_o for_o tuesday_n in_o 1660_o rest_n 5_o for_o thursday_n so_o that_o hence_o it_o may_v be_v observe_v that_o every_o 4_o year_n the_o first_o of_o march_n proceed_v 5_o day_n upon_o which_o supposition_n the_o former_a rule_n be_v build_v say_v then_o as_o 4_o to_z 5_o or_o as_o 1_o to_o 1¼_n so_o be_v the_o year_n of_o the_o lord_n propound_v to_o the_o number_n of_o day_n the_o first_o of_o march_n have_v proceed_v in_o all_o that_o tract_n cause_v by_o the_o odd_a day_n in_o each_o year_n and_o the_o access_n of_o the_o day_n for_o the_o leap_v year_n this_o number_n divide_v by_o 7_o the_o remainder_n show_v the_o fractionate_a part_n of_o a_o week_n above_o whole_a one_o which_o the_o say_a day_n have_v proceed_v which_o will_v not_o agree_v with_o the_o day_n of_o the_o week_n the_o first_o of_o march_n fall_v upon_o according_a to_o common_a tradition_n unless_o the_o number_n two_o be_v add_v thereto_o which_o argue_v that_o the_o first_o of_o march_n as_o we_o now_o account_v the_o day_n of_o the_o week_n fall_v upon_o monday_n or_o the_o second_o day_n of_o the_o week_n in_o the_o year_n of_o our_o lord_n nativity_n this_o be_v only_o for_o illustration_n of_o the_o former_a rule_n be_v to_o show_v that_o the_o add_v of_o the_o even_o four_o part_n of_o the_o year_n of_o our_o lord_n thereto_o work_v the_o proportion_n of_o 4_o to_o 5._o the_o use_n of_o this_o almanac_n be_v to_o know_v for_o ever_o on_o what_o day_n of_o the_o week_n any_o day_n of_o the_o month_n fall_v upon_o remember_v on_o what_o day_n of_o the_o week_n the_o first_o day_n of_o march_n fall_v upon_o in_o the_o year_n propound_v which_o do_v then_o begin_v in_o the_o use_n of_o this_o almanac_n and_o not_o soon_o or_o late_a as_o upon_o new-year_n day_n or_o quarter_n day_n all_o the_o figure_n represent_v the_o day_n of_o the_o month_n do_v also_o represent_v the_o same_o day_n of_o the_o week_n in_o the_o respective_a month_n under_o which_o they_o stand_v and_o the_o converse_n the_o month_n be_v assign_v all_o the_o figure_n that_o stand_v as_o day_n under_o it_o inform_v you_o what_o day_n of_o the_o say_a month_n the_o week_n day_n shall_v be_v the_o same_o as_o it_o be_v upon_o the_o first_o day_n of_o march_n and_o then_o by_o a_o due_a progression_n it_o will_v be_v easy_a to_o find_v upon_o what_o day_n of_o the_o month_n any_o day_n of_o the_o week_n fall_v as_o well_o as_o by_o a_o common_a almanac_n without_o the_o trouble_n of_o always_o one_o and_o sometime_o two_o dominical_a letter_n quite_o shun_v in_o this_o almanac_n by_o begin_v the_o year_n the_o first_o of_o march_n and_o so_o the_o odd_a day_n for_o leap_n year_n be_v introduce_v between_o the_o end_n of_o the_o old_a and_o the_o beginning_n of_o the_o new-year_n example_n in_o anno_fw-la 1657._o look_v for_o the_o figure_n 10_o in_o the_o column_n for_o month_n for_o the_o month_n of_o december_n under_o it_o i_o find_v 6_o 13_o 20_o 27_o now_o the_o first_o of_o march_n be_v the_o lord_n day_n i_o conclude_v also_o that_o these_o respective_a day_n in_o december_n be_v likewise_o on_o the_o lord_n day_n and_o from_o hence_o collect_v that_o christmas_n day_n which_o be_v always_o the_o 25_o of_o that_o month_n happen_v on_o a_o friday_n use_v of_o the_o projection_n this_o projection_n be_v no_o other_o than_o a_o four_o part_n of_o stofler_n particular_a astrolabe_n fit_v for_o the_o latitude_n of_o london_n invert_v that_o be_v the_o summer_n tropic_n and_o altitude_n etc._n etc._n turn_v downward_o towards_o the_o limb_n whereas_o in_o his_o astrolabe_n they_o be_v place_v upward_o towards_o the_o centre_n thus_o the_o quadrant_n thereof_o make_v be_v render_v most_o useful_a and_o accurate_a when_o there_o be_v most_o occasion_n for_o it_o before_o the_o projection_n can_v be_v use_v the_o bead_n must_v be_v rectify_v and_o because_o the_o thread_n and_o bead_n may_v stretch_v there_o may_v be_v two_o bead_n the_o one_o set_v to_o some_o circle_n

height_n we_o may_v shun_v these_o secant_v for_o as_o the_o sine_fw-la of_o the_o ark_n of_o the_o tower_n observe_v altitude_n at_o the_o first_o station_n be_v to_o the_o height_n of_o the_o tower_n or_o object_n above_o the_o eye_n so_o be_v the_o radius_fw-la to_o the_o distance_n between_o the_o eye_n and_o the_o top_n of_o the_o tower_n and_o by_o the_o same_o proportion_n use_v the_o ark_n at_o the_o second_o station_n the_o distance_n thence_o between_o the_o eye_n and_o the_o top_n of_o the_o tower_n may_v be_v likewise_o find_v if_o any_o one_o desire_n to_o shun_v this_o proportion_n in_o a_o difference_n as_o perhaps_o want_v natural_a table_n it_o may_v be_v do_v at_o two_o operation_n the_o first_o to_o get_v the_o distance_n from_o the_o eye_n to_o the_o top_n of_o the_o tower_n at_o first_o station_n in_o regard_n the_o difference_n of_o two_o ark_n be_v equal_a to_o the_o difference_n of_o their_o compliment_n it_o will_v hold_v as_o the_o sine_fw-la of_o the_o ark_n of_o difference_n between_o the_o angles_n observe_v at_o each_o station_n be_v to_o the_o distance_n between_o the_o two_o station_n so_o be_v the_o sine_fw-la of_o the_o angle_n observe_v at_o the_o further_a station_n to_o the_o distance_n between_o the_o eye_n and_o the_o top_n of_o the_o object_n at_o the_o first_o station_n which_o be_v have_v it_o than_o hold_v as_o the_o radius_fw-la to_o the_o say_a distance_n so_o the_o sine_fw-la of_o the_o angle_n observe_v at_o the_o first_o station_n to_o the_o altitude_n of_o the_o object_n the_o rest_n of_o the_o line_n on_o the_o quadrant_n be_v either_o for_o work_v of_o proportion_n or_o for_o protraction_n and_o dyall_v depend_v thereon_o wherefore_o i_o think_v fit_a to_o reduce_v all_o the_o common_a case_n of_o plain_a and_o sphoerical_a triangle_n to_o settle_a cannon_n and_o to_o let_v they_o precede_v their_o application_n to_o this_o or_o other_o instrument_n which_o shall_v be_v endeavour_v it_o be_v the_o chief_n aim_n of_o this_o book_n to_o render_v calculation_n facile_a in_o shun_v that_o measure_n of_o triangular_a knowledge_n hitherto_o require_v and_o to_o keep_v a_o check_n upon_o it_o some_o affection_n of_o plain_a triangle_n that_o any_o two_o side_n be_v great_a than_o the_o three_o that_o in_o every_o triangle_n the_o great_a side_n subtend_v the_o great_a angle_n and_o the_o converse_n that_o the_o three_o angle_n of_o every_o triangle_n be_v equal_a to_o two_o right_a angle_n or_o to_o 180._o that_o any_o side_n be_v continue_v the_o outward_a angle_n be_v equal_a to_o the_o two_o inward_a opposite_a one_o that_o a_o plain_a right_a angle_a triangle_n have_v but_o one_o right_a angle_n which_o be_v equal_a to_o both_o the_o other_o angle_n and_o therefore_o those_o two_o angle_n be_v necessary_o the_o compliment_n one_o of_o another_o by_o the_o compliment_n of_o a_o arch_n be_v mean_v the_o residue_n of_o that_o arch_n take_v from_o 90_o unless_o it_o be_v express_v the_o compliment_n of_o it_o to_o 180_o to_o save_v the_o rehearsal_n of_o these_o long_a word_n the_o tangent_fw-la of_o the_o compliment_n the_o secant_fw-la of_o the_o compliment_n other_o be_v substitute_v namely_o the_o cotangent_fw-la and_o the_o cosecant_v a_o obutse_n angular_a triangle_n have_v but_o one_o obtuse_a angle_n a_o acutangular_a triangle_n have_v none_o if_o a_o angle_n of_o a_o triangle_n be_v great_a than_o the_o rest_n it_o be_v obtuse_a if_o less_o acute_a the_o side_n subtend_v the_o right_a angle_n be_v call_v the_o hipotenusal_a and_o the_o other_o two_o the_o side_n or_o leg_n 1._o to_o find_v a_o side_n give_v the_o hipotenusal_a and_o one_o of_o the_o acute_a angle_n and_o consequent_o both_o as_o the_o radius_fw-la to_o the_o sine_fw-la of_o the_o angle_n opposite_a to_o the_o side_n seek_v so_o be_v the_o hipotenusal_a to_o the_o side_n seek_v 2._o to_o find_v a_o side_n give_v the_o hipotenusal_a and_o the_o other_o side_n as_o the_o hipotenusal_a to_o the_o give_v side_n so_o be_v the_o radius_fw-la to_o the_o sine_fw-la of_o the_o angle_n opposite_a to_o the_o give_v side_n then_o take_v the_o compliment_n of_o that_o angle_n for_o the_o other_o angle_n as_o the_o radius_fw-la to_o the_o hipotenusal_a so_o be_v the_o sine_fw-la of_o the_o angle_n opposite_a to_o the_o side_n seek_v to_o the_o side_n seek_v 3._o to_o find_v a_o side_n give_v a_o side_n and_o one_o acute_a angle_n and_o by_o consequence_n both_o as_o the_o radius_fw-la to_o tangent_fw-la of_o the_o angle_n opposite_a to_o the_o side_n seek_v so_o be_v the_o give_v side_n to_o the_o side_n seek_v or_o as_o the_o sine_fw-la of_o the_o angle_n opposite_a to_o the_o give_v side_n be_v to_o the_o give_v side_n so_o be_v the_o sine_fw-la of_o the_o other_o angle_n to_o the_o side_n seek_v 4._o to_o find_v the_o hipotenusal_a give_v one_o of_o the_o side_n and_o a_o acute_a angle_n consequent_o both_o as_o the_o sine_fw-la of_o the_o angle_n opposite_a to_o the_o give_v side_n be_v to_o the_o radius_fw-la so_o be_v the_o give_v side_n to_o the_o hypothenusal_a or_o as_o the_o radius_fw-la to_o secant_fw-la of_o the_o angle_n adjacent_a to_o the_o give_v side_n so_o be_v the_o give_v side_n to_o the_o hipotenusal_a 5._o to_o find_v the_o hipotenusal_a give_v both_o the_o side_n as_o one_o of_o the_o give_v side_n to_o the_o other_o give_v side_n so_o be_v the_o radius_fw-la to_o the_o tangent_fw-la of_o the_o angle_n opposite_a to_o the_o other_o side_n then_o take_v the_o compliment_n of_o the_o angle_n find_v for_o the_o other_o angle_n then_o as_o the_o sine_fw-la of_o the_o angle_n opposite_a to_o one_o of_o the_o give_v leg_n or_o side_n be_v to_o the_o give_v side_n so_o be_v the_o radius_fw-la to_o the_o hipotenusal_a 6._o to_o find_v a_o angle_n give_v the_o hipotenusal_a and_o one_o of_o the_o side_n as_o the_o hipotenusal_a be_v to_o the_o give_v side_n so_o be_v the_o radius_fw-la to_o the_o sine_fw-la of_o the_o angle_n opposite_a to_o the_o give_v side_n the_o compliment_n of_o the_o angle_n find_v be_v the_o other_o angle_n 7._o to_o find_v a_o angle_n give_v both_o the_o side_n as_o one_o of_o the_o give_v side_n to_o the_o other_o give_v side_n so_o be_v the_o radius_fw-la to_o the_o tangent_fw-la of_o the_o angle_n opposite_a to_o this_o other_o side_n the_o compliment_n of_o the_o angle_n find_v be_v the_o other_o angle_n because_o the_o sum_n of_o the_o square_n of_o the_o leg_n of_o a_o right_a angle_a triangle_n be_v equal_a to_o the_o square_n of_o the_o hipotenusal_a by_o 47_o 1_o euclid_n therefore_o the_o 2_o and_o 5_o case_n may_v be_v otherwise_o perform_v 2._o case_n to_o find_v a_o side_n or_o legg_n give_v the_o hipotenusal_a and_o other_o leg_n to_o do_v it_o by_o logarithme_n add_v the_o logarithm_n of_o the_o sum_n of_o the_o hipotenusa_n and_o legg_n to_o the_o logarithm_n of_o their_o difference_n the_o half_a sum_n be_v the_o logarithm_n of_o the_o side_n seek_v which_o in_o natural_a number_n be_v to_o extract_v the_o square_a root_n of_o the_o product_n of_o the_o sum_n and_o difference_n of_o the_o two_o number_n give_v namely_o the_o hipotenusal_a and_o leg_n which_o say_v root_n be_v equal_a to_o the_o side_n seek_v 5._o case_n when_o both_o the_o side_n be_v give_v to_o find_v the_o hipotenusal_a to_o do_v it_o by_o logarithme_n subtract_v the_o logarithm_n of_o the_o lesser_a side_n from_o the_o double_a logarithm_n of_o the_o great_a and_o to_o the_o absolute_a number_n answer_v to_o the_o remain_a logarithm_n add_v the_o lesser_a side_n the_o half_a sum_n of_o the_o logarithme_n of_o the_o sum_n thus_o compose_v and_o of_o the_o lesser_a side_n be_v the_o logarithm_n of_o the_o hypotenusa_fw-la seek_v which_o work_n be_v devise_v that_o the_o proposition_n may_v be_v perform_v in_o logarithme_n the_o same_o operation_n by_o natural_a number_n will_v be_v to_o divide_v the_o square_n of_o the_o great_a of_o the_o side_n by_o the_o lesser_a and_o to_o the_o quotient_a to_o add_v the_o lesser_a side_n then_o multiply_v that_o sum_n by_o the_o lesser_a side_n and_o extract_v the_o square_a root_n of_o the_o product_n for_o the_o hipotenusal_a seek_v case_n of_o oblique_a plain_a triangle_n 1._o data_fw-la to_o find_v a_o angle_n two_o side_n with_o a_o angle_n opposite_a to_o one_o of_o they_o to_o find_v the_o angle_n oppose_v to_o the_o other_o side_n as_o one_o of_o the_o side_n to_o the_o sine_fw-la of_o its_o opposite_a angle_n so_o the_o other_o side_n to_o the_o sine_fw-la of_o the_o angle_n oppose_v thereto_o if_o the_o angle_n give_v be_v obtuse_a the_o side_n opposite_a to_o it_o will_v be_v great_a than_o either_o of_o the_o rest_n and_o the_o other_o two_o angle_n shall_v be_v acute_a but_o if_o the_o give_v angle_n be_v acute_a it_o will_v be_v

59_o 17_o 04_o 31_o 15_o 03_o 17_o 21_o day_n november_n ☉_o r._n a._n ☉_o decl._n h._n m._n d._n m._n 1_o 15_o 07_o 17_o 38_o 2_o 15_o 11_o 17_o 54_o 3_o 15_o 15_o 18_o 10_o 4_o 15_o 19_o 18_o 26_o 5_o 15_o 23_o 18_o 41_o 6_o 15_o 27_o 18_o 56_o 7_o 15_o 31_o 19_o 11_o 8_o 15_o 36_o 19_o 26_o 9_o 15_o 40_o 19_o 40_o 10_o 15_o 45_o 19_o 53_o 11_o 15_o 49_o 20_o 07_o 12_o 15_o 53_o 20_o 19_o 13_o 15_o 58_o 20_o 32_o 14_o 16_o 02_o 20_o 44_o 15_o 16_o 07_o 20_o 56_o 16_o 16_o 11_o 21_o 08_o 17_o 16_o 15_o 21_o 19_o 18_o 16_o 19_o 21_o 29_o 19_o 16_o 23_o 21_o 39_o 20_o 16_o 28_o 21_o 49_o 21_o 16_o 32_o 21_o 58_o 22_o 16_o 36_o 22_o 08_o 23_o 16_o 40_o 22_o 16_o 24_o 16_o 44_o 22_o 24_o 25_o 16_o 49_o 22_o 32_o 26_o 16_o 53_o 22_o 39_o 27_o 16_o 57_o 22_o 46_o 28_o 17_o 02_o 22_o 52_o 29_o 17_o 06_o 22_o 58_o 30_o 17_o 11_o 23_o 03_o 31_o  _fw-fr  _fw-fr  _fw-fr  _fw-fr day_n december_n ☉_o r._n a._n ☉_o decl._n h._n m._n d._n m._n 1_o 17_o 15_o 23_o 08_o 2_o 17_o 20_o 23_o 13_o 3_o 17_o 25_o 23_o 17_o 4_o 17_o 29_o 23_o 20_o 5_o 17_o 34_o 23_o 23_o 6_o 17_o 38_o 23_o 26_o 7_o 17_o 42_o 23_o 28_o 8_o 17_o 47_o 23_o 29_o 9_o 17_o 51_o 23_o 30_o 10_o 17_o 56_o 23_o 31_o 11_o 18_o 00_o 23_o 31½_n 12_o 18_o 05_o 23_o 31_o 13_o 18_o 09_o 23_o 30_o 14_o 18_o 14_o 23_o 29_o 15_o 18_o 19_o 23_o 27_o 16_o 18_o 24_o 23_o 25_o 17_o 18_o 28_o 23_o 22_o 18_o 18_o 33_o 23_o 19_o 19_o 18_o 37_o 23_o 15_o 20_o 18_o 41_o 23_o 11_o 21_o 18_o 45_o 23_o 07_o 22_o 18_o 49_o 23_o 02_o 23_o 18_o 54_o 22_o 56_o 24_o 18_o 58_o 22_o 50_o 25_o 19_o 03_o 22_o 43_o 26_o 19_o 07_o 22_o 36_o 27_o 19_o 11_o 22_o 29_o 28_o 19_o 16_o 22_o 21_o 29_o 19_o 20_o 22_o 13_o 30_o 19_o 25_o 22_o 04_o 31_o 19_o 30_o 21_o 55_o a_o rectify_v table_n for_o the_o sun_n declination_n  _fw-fr year_n year_n year_n  _fw-fr 1657_o 1661._o 1665_o 1669_o 1673_o 1659._o 1663._o 1667_o 1671_o 1675_o 1660_o 1664_o 1668_o 1672_o 1676_o month_n min._n min._n min._n january_n 3_o s_o 2_o a_o 5_o a_o 4_o s_z 3_o a_o 7_o a_o 5_o s_z 4_o a_o 9_o a_o february_n 5_o s_z 5_o a_o 10_o a_o 5_o s_z 5_o a_o 11_o a_o 6_o s_z 5_o a_o 11_o a_o march_z 6_o s_z 5_o a_o 13_o s_z 5_o a_o 5_o s_z 12_o a_o 5_o a_o 5_o s_z 12_o a_o april_n 5_o a_o 5_o s_z 11_o a_o 5_o a_o 5_o s_z 10_o a_o 4_o a_o 4_o s_z 9_o a_o may_v 4_o a_o 4_o s_z 8_o a_o 3_o a_o 3_o s_z 6_o a_o 2_o a_o 2_o s_z 4_o a_o june_n 1_o a_o 1_o s_o 2_o a_o 0_o s_o 0_o a_o 0_o s_o 1_o s_z 1_o a_o 3_o s_o july_n 2_o s_z 2_o a_o 5_o s_z 3_o s_z 3_o a_o 7_o s_z 4_o s_z 4_o a_o 9_o s_o august_n 5_o s_z 5_o a_o 10_o s_z 5_o s_z 5_o a_o 11_o s_z 6_o s_z 5_o a_o 12_o s_o september_n 6_o s_z 5_o a_o 13_o s_z 6_o a_o 5_o s_z 13_o a_o 6_o a_o 5_o s_z 12_o a_o october_n 6_o a_o 5_o s_z 12_o a_o 5_o a_o 5_o s_z 11_o a_o 4_o a_o 5_o s_z 9_o a_o novem._n 3_o a_o 4_o s_z 7_o a_o 2_o a_o 3_o s_z 5_o a_o 1_o a_o 2_o s_z 3_o a_o decemb._n 0_o a_o 1_o s_z 1_o a_o 1_o s_o 0_o a_o 1_o s_z 2_o s_z 1_o a_o 3_o s_z the_o use_n of_o the_o rectify_v table_n note_v that_o the_o minute_n under_o the_o respective_a year_n be_v to_o be_v add_v or_o substract_v to_o or_o from_o the_o sun_n declination_n in_o the_o former_a table_n as_o be_v note_v with_o the_o letter_n a_o or_o s_o and_o also_o note_v that_o the_o first_o figure_n in_o each_o month_n stand_v for_o the_o first_o 10_o day_n of_o the_o month_n and_o the_o second_o for_o the_o second_o 10_o day_n &_o the_o three_o for_o the_o last_o 10_o day_n except_o in_o march_n or_o september_n which_o in_o march_n will_v be_v the_o first_o 9_o day_n only_o and_o in_o september_n the_o first_o 12_o day_n example_n i_o will_v know_v the_o sun_n declination_n the_o 15_o day_n of_o may_n 1668._o now_o because_o this_o day_n of_o the_o month_n fall_v in_o the_o second_o 10_o day_n i_o look_v in_o the_o table_n under_o the_o year_n 1663._o and_o right_a against_o may_v you_o shall_v find_v that_o in_o the_o second_o place_n of_o the_o month_n stand_v 6_o a_o which_o show_v i_o that_o i_o must_v add_v 6_o minute_n to_o the_o sun_n declination_n in_o the_o former_a table_n 21_o degree_n 5_o min._n that_o stand_v against_o the_o 15_o day_n of_o may_n and_o then_o i_o find_v that_o the_o sun_n will_v have_v 21_o deg_n 11_o min._n of_o north_n declination_n and_o so_o for_o the_o rest_n which_o will_v never_o differ_v above_o two_o minute_n from_o the_o truth_n but_o seldom_o so_o much_o and_o for_o the_o most_o part_n true_a note_v that_o the_o former_a table_n of_o the_o sun_n declination_n be_v fit_v exact_o for_o the_o year_n 1666._o by_o the_o rule_n mr._n wright_n give_v in_o his_o correction_n of_o error_n and_o from_o his_o table_n and_o may_v indifferent_o serve_v for_o the_o year_n 1658_o 1662._o 1670_o 1674_o without_o any_o sensible_a error_n and_o the_o table_n of_o right_a ascension_n will_v not_o vary_v a_o minute_n of_o time_n in_o many_o year_n finis_fw-la error_n in_o the_o horizontal_n quadrant_n page_n 5_o line_n 6_o in_o a_o italian_a letter_n shall_v not_o have_v be_v distinct_a nor_o in_o another_o letter_n from_o the_o former_a line_n page_n 5._o line_n 9_o for_o quarter_n read_v half_a p._n 5._o l._n 13._o r._n of_o a_o quadrant_a p._n 11._o l._n 7._o r._n 63_o d._n 26′_n p._n 19_o l._n 7._o r._n the_o same_o day_n to_o p._n 23._o l._n 17._o r._n and_o end_n at_o 32′_n past_o 9_o p._n 27._o l._n 7._o for_o n_o r_o r._n n_o z._n p._n 28._o l._n 4._o r._n in_o the_o parallel_n p._n 30._o l._n 9_o &_o l._n 10._o r._n 23_o d._n 31′_n p._n 38._o l._n 4._o r._n be_v to_o the_o sine_fw-la p._n 50._o l._n 5._o r._n whereof_o the_o diameter_n a_o appendix_n touch_v reflective_a dial_v by_o john_n lyon_n professor_n of_o this_o or_o any_o other_o part_n of_o the_o mathematics_n near_o somerset_n house_n in_o the_o strand_n london_n print_v anno_fw-la domini_fw-la 1658._o direct_v dial_v by_o a_o hole_n or_o nodus_fw-la to_o draw_v a_o dial_n under_o any_o window_n that_o the_o sun_n shine_v upon_o by_o help_n of_o a_o thread_n fasten_v in_o any_o point_n of_o the_o direct_a axis_n find_v in_o the_o ceiling_n and_o a_o hole_n in_o any_o pane_n of_o glass_n or_o a_o knob_v or_o nodus_fw-la upon_o any_o side_n of_o the_o window_n or_o window-post_n constructio_fw-la first_o draw_v on_o pasteboard_n or_o other_o material_a a_o horizontal_n dial_n for_o the_o latitude_n propose_v then_o by_o help_n of_o the_o sun_n azimuth_n which_o may_v be_v find_v by_o help_n of_o a_o general_a quadrant_n at_o any_o time_n or_o by_o know_v the_o true_a hour_n of_o the_o day_n with_o the_o help_n of_o the_o say_v horizontal_n dial_n and_o draw_v that_o true_a meridian_n from_o the_o hole_n or_o nodus_fw-la propose_v both_o above_o on_o the_o ceiling_n and_o below_o on_o the_o wall_n and_o floor_n of_o the_o room_n so_o that_o if_o a_o right_a line_n be_v extend_v from_o the_o say_a hole_n or_o nodus_fw-la by_o any_o point_n in_o any_o of_o those_o line_n it_o will_v be_v in_o the_o meridian_n circle_n of_o the_o world_n to_o find_v a_o point_n in_o the_o direct_a axis_n of_o the_o world_n which_o will_v ever_o fall_v to_o be_v in_o the_o say_a meridian_n in_o which_o point_n the_o end_n of_o a_o thread_n be_v to_o be_v fasten_v first_o fix_v the_o end_n of_o a_o thread_n or_o small_a silk_n in_o the_o centre_n of_o the_o hole_n or_o nodus_fw-la and_o move_v the_o other_o end_n thereof_o up_o or_o down_o in_o the_o say_a meridian_n former_o draw_v on_o the_o ceiling_n or_o wall_n until_o by_o apply_v the_o side_n of_o a_o quadrant_n to_o that_o thread_n it_o be_v find_v to_o be_v elevate_v equal_a to_o the_o latitude_n of_o the_o place_n so_o be_v that_o thread_n direct_o situate_v parallel_n to_o the_o axis_n of_o the_o world_n and_o the_o point_n where_o the_o end_n of_o that_o thread_n touch_v the_o meridian_n either_o on_o the_o ceiling_n or_o wall_n be_v that_o point_n in_o the_o direct_a axis_n seek_v for_o wherein_o fix_v one_o end_n of_o a_o thread_n which_o thread_n will_v be_v of_o present_a use_n in_o project_v of_o hour-point_n in_o any_o place_n propose_v then_o to_o find_v the_o hour-point_n